Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models

Autor: Zhang, Dan-Wei, Chen, Yu-Lian, Zhang, Guo-Qing, Lang, Li-Jun, Li, Zhi, Zhu, Shi-Liang
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. B 101, 235150 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.101.235150
Popis: Non-Hermitian quantum many-body systems are a fascinating subject to be explored. Using the generalized density matrix renormalisation group method and complementary exact diagonalization, we elucidate the many-body ground states and dynamics of a 1D interacting non-Hermitian Aubry-Andre-Harper model for bosons. We find stable ground states in the superfluid and Mott insulating regimes under wide range of conditions in this model. We reveal a skin superfluid state induced by the non-Hermiticity from the nonreciprocal hopping. We investigate the topology of the Mott insulating phase and find its independence of the non-Hermiticity. The topological Mott insulators in this non-Hermitian system are characterized by four equal Chern numbers and a quantized shift of biorthogonal many-body polarizations. Furthermore, we show generic asymmetric expansion and correlation dynamics in the system.
Comment: 10 pages, 6 figures; close to the published version
Databáze: arXiv